# Amplitude of a block oscillating on a spring

• drunknfox
The maximum displacement is 0.18 m and the maximum speed is 0.15 m.In summary, the maximum displacement of the oscillating block is 0.18 m and the maximum speed is 0.15 m. To calculate these values, you need to use the formula for angular frequency and the energy equation.
drunknfox

## Homework Statement

a .25kg block oscillates on the end of a spring with a spring constant of 200N/m. If the oscillation is started by elongating spring to 0.15m and giving the block a speed of 3.0m/s. The amplitude is?

## Homework Equations

omega= sqrt(k/m), Vm = (omega)Xm

## The Attempt at a Solution

omega= sqrt (200/.25) = 28.28 (3m/s) = 28.28Xm (3/28.28) = .106

The correct answer is .18m..what am i missing?

The spring is stretched by 0.15 m and the block has 3 m/s speed at the same time. 0.15 is not the maximum displacement and 3 m/s is not the maximum speed. Calculate the energy, and get the maximum speed from it.

ehild

## 1. What is the amplitude of a block oscillating on a spring?

The amplitude of a block oscillating on a spring is the maximum displacement of the block from its equilibrium position during one complete cycle of oscillation. It is usually represented by the letter 'A' and is measured in units of length, such as meters or centimeters.

## 2. How is the amplitude of a block oscillating on a spring related to its energy?

The amplitude of a block oscillating on a spring is directly proportional to its energy. This means that as the amplitude increases, the energy of the system also increases. This relationship is described by the equation E = kA^2, where k is the spring constant and A is the amplitude.

## 3. Can the amplitude of a block oscillating on a spring be changed?

Yes, the amplitude of a block oscillating on a spring can be changed by altering the initial conditions of the system. For example, the amplitude can be increased by applying a greater force to the block or by using a spring with a higher spring constant. It can also be decreased by introducing damping forces that reduce the energy of the system over time.

## 4. How does the mass of the block affect the amplitude of oscillation?

The mass of the block does not directly affect the amplitude of oscillation, but it does affect the period of oscillation. A heavier block will have a longer period of oscillation compared to a lighter block, but the amplitude will remain the same for a given spring and initial conditions.

## 5. What happens to the amplitude of a block oscillating on a spring as time goes on?

The amplitude of a block oscillating on a spring will gradually decrease over time due to the effects of damping. This is because damping forces, such as friction, convert the energy of the oscillating system into heat, causing the amplitude to decrease until the block eventually comes to rest at the equilibrium position.

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